#1381 - Hard Chess Count Puzzle
Can you count the number of rectangles in a chess board ?
1296
You are given with six numbers – 1, 2, 3, 4, 5 and 6. You can arrange them in any order and you can use all the four mathematics expression i.e. add, subtract, multiply and divide and also parenthesis. The result must be 278.
There are three other rules
1) You can only use a number once.
2) It is not compulsory to use all the six numbers.
3) You can't join numbers i.e. you can't use 1, 2 and 3 as 123.
(1 + (3 + 4*5)*6)*2
There can be more than one possibilities.
Outside a tattoo artist's shop there was a signboard which read 'I make tattoos on only them who do not tattoo themselves'.
Reading it what do you think, does the tattoo artist tattoo himself ?
Well this is a paradox sentence which does not have any specific answer.
There are 4 water jug – A, B, C and D.
One can fill 3 litres in A, 4 litres in B, 5 litres in C and 5 litres in D. Container A and B are given to you empty and C and D are fully filled with water.
What you have to do is fill the water jug A, B, C and D with ascending or descending order.
Initially
A – 0, B – 0, c -5, D – 5
Pour C into B
A – 0, B – 4, C – 1, D – 5
Pour C into B
A – 0, B – 4, C – 1, D – 5
Pour half of B into C
A – 0, B – 2, C – 3, D – 5
Pour D into A
A – 3, B – 2, C – 3, D – 2
Pour A into B
A – 1, B – 4, C – 3, D – 2
Pour half of B into D
A – 1, B – 2, C – 3, D – 4
Irene killed hundreds of people mercilessly and yet the police was not able to put her behind the bars. Why ?
Irene was a hurricane.
Solve the following riddle
They do not possess flesh or feathers or scales or bone
But still they are blessed with fingers and thumbs of their own.
They are gloves
You visit a friend's place and are offered an apple that seems so delicious you can't resist to take a bite. But when you do that, you find a worm in the apple. Still you are relieved of one thing as you know it could have been even worse.
What could have been even worse ?
If you found a half worm, that would have been worse.
There is an ancient kingdom where every married women keeps information regarding the fidelity of other men. However what they don't know is the fidelity of their own husbands. Also there is an ancient belief due to which they don't tell each other about the fidelity of their husbands.
On a certain day, the queen of the kingdom declares that she has identified at least one unfaithful man in the kingdom. She allows the wives to identify and gives them authority to kill their husband if they are unfaithful at midnight.
How will the wives manage it?
Let us begin with the assumption that only one man is unfaithful. In that case everyone except wife of his will know about him. But his wife will know that all other men are unfaithful and on the statement of queen that there is at least one unfaithful man in the kingdom, she will shoot his husband at midnight.
Now assume that there are two unfaithful men in the kingdom. Then their wives will know about one unfaithful man. So they will wait for the midnight. But when nobody will be shot at midnight, they will come to know that there must be more than one unfaithful husband and they will come to know that their husband is also unfaithful. Thus both of them will shoot their husbands at midnight.
Assume that there are three unfaithful husbands. Their wives will know about the two unfaithful men and they will wait for two midnights but when nobody will be shot, they will come to know that there are more than two unfaithful men and they will understand that their own husband is unfaithful. Thus they will shoot their husbands at the third midnight.
Thus for any general case where there are n unfaithful husbands, each of their wives will believe there are n-1 unfaithful husband and will be expecting a shot on the midnight of n-1 day. When they don't hear any gunshot, they will realize that their own husband was the nth.
There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equals wastage. You have two sacks one labelled Heads and other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sack.
How will you distribute the gems between the sacks so that the odds of picking a Blue gem is maximum ?
All you have to do is put a blue gem in any one of the sack and the other blue gems in the other sack. Doing this will provide you a shade under 3/4 probability of picking up a blue gem.